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Finding the Fourth Proportional to 138,578.14, 191,223.03 and 78,147.46

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Solution

The fourth proportional to 138,578.14, 191,223.03 and 78,147.46 is: 107,835.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,578.14 : 191,223.03 = 78,147.46 : x
  2. Step 2: Convert to fraction form
    138,578.14/191,223.03 = 78,147.46/x
  3. Step 3: Cross multiply
    138,578.14x = 191,223.03 × 78,147.46
  4. Step 4: Simplify right side
    138,578.14x = 14,943,594,088.00
  5. Step 5: Solve for x
    x = 14,943,594,088.00/138,578.14
  6. Step 6: Final answer
    x = 107,835.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.